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Multiple Choice Question
Solve for x.

A line perpendicular to a horizontal line forming two right angles, one is to its left and other is to its right. The right angle on the right side is further divided into two acute angles, one angle is 32 degrees and the other angle is (2x minus 12) degrees

x=35
x=51
x=80
x=96

1 answer

To solve for x, consider that the sum of the angles in a right triangle is 90 degrees. Therefore, the sum of the two acute angles on the right side is 32 + (2x - 12) = 90.

Combine like terms: 32 + 2x - 12 = 90
2x + 20 = 90
Subtract 20 from both sides: 2x = 70
Divide by 2: x = 35

Therefore, x = 35. So the answer is x=35.